P4/P5 Pie Chart (Fractions of Different Denominators)

These questions shows that the Pie Chart have 3 sections and each section is denoted by a fraction with its own unique denominator.

Students have to make use of common denominator so all the sections' fractions add up to become one whole.

Such questions are common in Section C of P4 exams and also in Paper 1 of P5 exams.

Calculator usage is not allowed.

More similar questions on Pie Charts here.

Is this a Pie Chart or a picture of a pyramid?

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P5P6 Math: Before and After (One Party Change) Fractional Comparison

Such questions are very similar to before and after "ratio" comparison where only one of the values changed, but the ratios are expressed using fractions. 

Such questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is allowed.

Similar Ratio (One Party Change) questions can be found here.

Ben and Lenny each have some baseball cards.

At first, Ben has ²/₅ as many cards as Lenny.

After Ben bought 36 more cards,

Ben has ²/₃ as many cards as Lenny.

How many cards did both boys have altogether at first?

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P4P5 Math: Before and After Multiples (More became Less)

This type of question is a "Before and After" where the one with more, became the one with less after an external transfer.

This question requires students to draw "before and after" comparison models in order to visualize the problem sum.

Such questions are common in Section C of P4 exams and also Paper 1 of P5 exams.

Calculator usage is not allowed

Another one of more difficulty that deals with "internal transfer"

Jenny has twice as much money as Kelly.

After Jenny spent $36 on a durian, 

Kelly now has twice as much as Jenny.

How much did both girls have altogether at first?

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P4/P5 Math: Spend and Left after buying 2 items (multiples of each other)

This question type requires students to draw comparison models and also a part/whole model to visualize the problem sum.

Such questions are common in WA2 in P4 exams and also Paper 1 in P5 exams.

Calculator usage is not allowed.

Steffi has $77 to spend at the mall.

After she bought a book and a camera, she has $14 left.

The camera costs thrice as much as the book.

How much was the book?

Vintage camera

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P4/P5 Math: Pie Chart(Intermediate)

Pie Charts taught in P4 will require students to understand the meaning of the 90 degree and what fraction(of the total) the right-angled piece represents.

This question is slightly more complex and will require students to understand the comparison between the different parts of the pie chart(besides knowing that 90 degrees represent a quarter of the total)

Such questions usually appear in Section C of P4 exam papers.

P5 and P6 students can use this as extra practice for Paper 1 as well (no calculator usage).

An easier version of Pie Chart questions can also be found here.

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P3/P4 Before and After One Party Unchanged (Start Multiples, End Difference)

Such questions presents 2 values to be multiples of each other at first.

One of the value undergo a change(addition/subtraction) and the resulting difference is given after the chance.

Such questions require students to use "Before and After Comparison Models" to visualize the changes and to also be aware that one of the values "did not change".

These questions are common in Section C of P3 and P4 exam papers.

There were thrice as many boys as girls whom were in the school hall at first.

After 15 boys left the school hall to go toilet, 

there were still 17 more boys than girls remaining in the hall.

How many students were there altogether in the school hall at first?

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P3/P4 Before and After One Party Unchanged (Start Same, End Multiples)

In such questions, 2 values are being presented to be equal at first.

One of the values undergo a change (add/subtract) and it results with the larger value becoming a multiple of the smaller value at the end.

Before and After questions are staples for P3 and P4 students as they would need to know how to visualize these questions using "Before and After Comparison Models".

Such questions are common in Section C of P3 and P4 exam papers.

Harold and Kumar has the same number of sweets at first.

After Harold ate 45 sweets, 

Kumar now has 4 times as many sweets as Harold.

How many sweets did both have altogether at first?

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P6 Math: 3 Parties Before and After with Uneven Ratio at the End

A total of 3 parties are given at first.
Each of the party undergo increase or decrease and the end ratio is given.

Some of the increase/decrease are fractional and some are numerical.

Such questions are common in Paper 2 of P6 exams

Calculator usage is allowed.

An easier version of this question can be found here.

Elizabeth, Wendy and Lindy had a total of $483 at first.

Elizabeth was given more money by her parents and had double of what she had at first.

Wendy spent $67 on a pair of ballet shoes and Lindy's brother gave her another $94.

In the end, the ratio of remaining money of Elizabeth to Wendy to Lindy was 5:4:2.

How much did Lindy have at first?

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P4P5 Math: Before and After Start Same End Multiples

One of the "Before and After" problem sums where the 2 parties start with equal value.
After each undergo a decrease, one of value remaining is a multiple of the other.

Such questions are common in P4 and P5 exams.

They either appear in Paper 1 of P5 or Section C of P4 papers.

Calculator usage is not allowed.

Evelyn and Kathy each have the same number of stamps at first.

After Evelyn sold 24 stamps and Kathy gave away 100 stamps,

Evelyn now has thrice as many stamps remaining as Kathy.

How many stamps did Evelyn have at first?

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P4P5 Math: Before and After Start Multiples End Same

Such problem sums starts with 2 parties, one being a multiple of another at first.

Both parties undergo addition or subtraction and results in both having equal value at the end.

This type of problem sum will require student to use before and after models to represent visually the starting multiples of one another at the "Before" model and the "After" model to represent the changes and how both became "Equal".

These questions are common in Section C of P4 exams and Paper 1 of P5 exams.

Calculator usage is not allowed.

Chris have 3 times as many buttons as Bailey at first.

After Chris used 30 buttons making shirts and Bailey used 4 buttons for making pants,

they had the same number of buttons left.

How many buttons did Chris have at first?

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